Habilitation thesis of Andrey Polyakov

Linear geometrical homogeneity for the control and the estimation at finished time(weather)

The thesis deals with one of the main research direction of the applicant in the last 5 years: design of finite/fixed-time controllers and observers by means of a canonical homogeneous norm induced by linear dilations. Such a norm simplifies the analysis and design of homogeneous control systems, and allows a liner control and state estimation algorithms to be extended easily to some non-linear cases. Canonical homogeneous norms appear in the control and systems theory in the form of controllability functions and implicit Lyapunov functions.

defended on 29/11/2018